A one-dimensional model of trail propagation by army ants

DOI10.1007/BF00163038zbMath0818.92027OpenAlexW1999082240MaRDI QIDQ1890505

James Watmough, Leah Edelstein-Keshet

Publication date: 18 May 1995

Published in: Journal of Mathematical Biology (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00163038

zbMATH Keywords

travelling wave solutionsself-organizationswarming behaviourarmy antschemical communicationchemical pheromonestrail formationtrail markers

Mathematics Subject Classification ID

PDEs in connection with biology, chemistry and other natural sciences (35Q92) Animal behavior (92D50)

Related Items (9)

A model for collective dynamics in ant raids ⋮ A one-dimensional model of trail propagation by army ants ⋮ Interaction of red crabs with yellow crazy ants during migration on Christmas Island ⋮ Trail formation based on directed pheromone deposition ⋮ An ant navigation model based on Weber's law ⋮ Dynamic coordinated control laws in multiple agent models ⋮ The effect of a non-uniform turning kernel on ant trail morphology ⋮ Modeling ant foraging: a chemotaxis approach with pheromones and trail formation ⋮ Recruitment Dynamics of Social Insect Colonies

Cites Work

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• Models of dispersal in biological systems
• Biased random walk models for chemotaxis and related diffusion approximations
• Simple models for trail-following behaviour; trunk trails versus individual foragers
• A one-dimensional model of trail propagation by army ants

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